Bihamiltonian approach to the gauge models: closed string model
The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption that string model is the integrable model for particular kind of the background fields. It is shown that bihamiltonity is origin of two types of the T-duality...
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| Опубліковано в: : | Вопросы атомной науки и техники |
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| Дата: | 2001 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2001
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/79425 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Bihamiltonian approach to the gauge models: closed string model / V.D. Gershun // Вопросы атомной науки и техники. — 2001. — № 6. — С. 65-70. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862617593186091008 |
|---|---|
| author | Gershun, V.D. |
| author_facet | Gershun, V.D. |
| citation_txt | Bihamiltonian approach to the gauge models: closed string model / V.D. Gershun // Вопросы атомной науки и техники. — 2001. — № 6. — С. 65-70. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption that string model is the integrable model for particular kind of the background fields. It is shown that bihamiltonity is origin of two types of the T-duality of the closed string models. The dual nonlocal Poisson brackets, depending of the background fields and of their derivatives, are obtained. The integrability condition is formulated as the compatibility of the bihamoltonity condition and the Jacobi identity of the dual Poisson bracket. It is shown, that the dual brackets and dual hamiltonians can be obtained from the canonical (PB) and from the initial hamiltonian by imposing of the second kind constraints on the initial dynamical system, on the closed string model in the constant background fields, as example. The closed string model in the constant background fields is considered without constraints, with the second kind constraints and with first kind constraints as the B-chiral string. The two particles discrete closed string model is considered as two relativistic particle system to show the difference between the Gupta-Bleuler method of the quantization with the first kind constraints and the quantization of the Dirac bracket with the second kind constraints.
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| first_indexed | 2025-12-07T13:12:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-79425 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T13:12:31Z |
| publishDate | 2001 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Gershun, V.D. 2015-04-01T19:30:22Z 2015-04-01T19:30:22Z 2001 Bihamiltonian approach to the gauge models: closed string model / V.D. Gershun // Вопросы атомной науки и техники. — 2001. — № 6. — С. 65-70. — Бібліогр.: 9 назв. — англ. 1562-6016 PACS:11.17.-w 11.30.-j 11.30.Na 11.30.Lm https://nasplib.isofts.kiev.ua/handle/123456789/79425 The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption that string model is the integrable model for particular kind of the background fields. It is shown that bihamiltonity is origin of two types of the T-duality of the closed string models. The dual nonlocal Poisson brackets, depending of the background fields and of their derivatives, are obtained. The integrability condition is formulated as the compatibility of the bihamoltonity condition and the Jacobi identity of the dual Poisson bracket. It is shown, that the dual brackets and dual hamiltonians can be obtained from the canonical (PB) and from the initial hamiltonian by imposing of the second kind constraints on the initial dynamical system, on the closed string model in the constant background fields, as example. The closed string model in the constant background fields is considered without constraints, with the second kind constraints and with first kind constraints as the B-chiral string. The two particles discrete closed string model is considered as two relativistic particle system to show the difference between the Gupta-Bleuler method of the quantization with the first kind constraints and the quantization of the Dirac bracket with the second kind constraints. The author would like to thanks J. Lukierski for the kind hospitality in the Wroclaw University and A.I. Pashnev for useful discussions. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Quantum field theory Bihamiltonian approach to the gauge models: closed string model Бигамильтонов подход к калибровочным моделям: модель замкнутой струны Article published earlier |
| spellingShingle | Bihamiltonian approach to the gauge models: closed string model Gershun, V.D. Quantum field theory |
| title | Bihamiltonian approach to the gauge models: closed string model |
| title_alt | Бигамильтонов подход к калибровочным моделям: модель замкнутой струны |
| title_full | Bihamiltonian approach to the gauge models: closed string model |
| title_fullStr | Bihamiltonian approach to the gauge models: closed string model |
| title_full_unstemmed | Bihamiltonian approach to the gauge models: closed string model |
| title_short | Bihamiltonian approach to the gauge models: closed string model |
| title_sort | bihamiltonian approach to the gauge models: closed string model |
| topic | Quantum field theory |
| topic_facet | Quantum field theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/79425 |
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